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A piece of work can be completed by 45 men in 90 days if only 30 men are available, how many days will it take to complete the same work ?

2 Answers

4 votes

Answer:

60 days


Explanation:

Because 45and 45 make 90 so if you add 30 and 30 it gets you 60

User Frankenmint
by
7.9k points
2 votes

Answer:

135 days

Explanation:

Often, we measure work in man·days. This piece of work requires ...

(45 man)·(90 days) = 4050 man·days

When there are only 30 men, the number of days required can be found by dividing this work by the number of men:

4050 man·days/(30 man) = 135 days

_____

Another approach is to realize the time is inversely proportional to the number of men. If the number of men is 30/45 = 2/3 the original, then the time will be 3/2 the original, or ...

(3/2)·90 days = 135 days.

User Maged
by
8.5k points

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